作业求助

linchan

Eight months ago, Louise agreed to pay Thelma $750 and $950, six and twelve
# Z, b' X! M5 ]' t( u$ `months respectively from the date of the agreement. With each payment, Louise
agreed to pay interest at the rate of 9.5% pa from the date of the agreement. Louise
5 K  u4 ]/ S; c. J* Jfailed to make the first payment and now wishes to settle her obligations with a
single payment four months from now. What payment should Thelma be willing to
accept if money can earn 7.75%? （最好有过程）

littledognancy

Suppose Intr is annually compounded                                       
8 D6 ]7 e5 c- @% j) L* D                Month 0        Mon. 8                  Mon. 12
. a( x; S- c/ x6 GCash Principal        X        -750                  -950       
/ I9 ^# h: S- z7 B. @8 Q) ~Cash Intr (Should Pay)                -X*9.5%*8/12          -(X-750)*9.5%*4/12               
PV at mon 0        X        -[750+X*9.5%*8/12]          -[950+(X-750)*9.5%*4/12]
                                                 /(1+7.75%*8/12)           /(1+7.75%*12/12)
2 Q" Q2 B, ]; T' l+ Q4 F
these 3 should add up to 0, i.e. NPV at month 0 is 0.
                                       
Conclusion        X        =        1729.8               
& w9 a0 v, ~/ }! i; c5 S1 K                                       
So, Initial borrowing was        1730        *(1+7.5%)        1859.5        approx.         $1,860
9 ~' l% \/ O/ {" l

littledognancy

Finance 学得不好所以不知道做得对不对。。。看着办吧~ 也许有用。

linchan

对了，答案是$1856.32